Details

Time bar (total: 11.4s)

analyze2.6s (22.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
9.4%90.5%0.1%7
14%85.8%0.1%8
16.4%83.5%0.1%9
24.6%75.3%0.1%10
28.7%71.2%0.1%11
30.7%69.1%0.1%12
35.8%64%0.1%13
38.4%61.5%0.1%14
Compiler

Compiled 32 to 18 computations (43.8% saved)

sample171.0ms (1.5%)

Algorithm
intervals
Results
76.0ms65×body1024valid
31.0ms140×body128valid
25.0ms34×body512valid
7.0ms17×body256valid
Compiler

Compiled 66 to 38 computations (42.4% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×fma-def_binary64
11×*-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01844
13044
25044
35644
45644

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.1b
(fabs.f64 (+.f64 (*.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 120 to 53 computations (55.8% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 ew (sin.f64 t))
0.1b
(*.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
3.4b
(/.f64 (/.f64 eh ew) (tan.f64 t))
32.8b
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series148.0ms (1.3%)

Counts
4 → 132
Calls

4 calls:

81.0ms
(/.f64 (/.f64 eh ew) (tan.f64 t))
40.0ms
(*.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
19.0ms
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
8.0ms
(*.f64 ew (sin.f64 t))

rewrite24.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
51×add-sqr-sqrt_binary64
49×*-un-lft-identity_binary64
49×add-cube-cbrt_binary64
16×add-cbrt-cube_binary64
Counts
4 → 125
Calls

4 calls:

5.0ms
(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms
(*.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
3.0ms
(*.f64 ew (sin.f64 t))
1.0ms
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify131.0ms (1.1%)

Algorithm
egg-herbie
Rules
513×fma-def_binary64
426×associate-/l/_binary64
420×times-frac_binary64
403×cancel-sign-sub-inv_binary64
353×associate-/l*_binary64
Counts
257 → 196
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02674607
16304292
218994240
341164236
449714236

prune182.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3012303
Fresh000
Picked011
Done000
Total3013304
Error
0.1b
Counts
304 → 3
Alt Table
StatusErrorProgram
0.1b
(fabs.f64 (+.f64 (*.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.7b
(fabs.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
26.4b
(fabs.f64 (+.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 ew ew) ew) (*.f64 (*.f64 (sin.f64 t) (sin.f64 t)) (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 11416 to 2260 computations (80.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (cbrt.f64 ew) (cbrt.f64 ew))
0.6b
(cbrt.f64 ew)
3.4b
(/.f64 (/.f64 eh ew) (tan.f64 t))
32.8b
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series75.0ms (0.7%)

Counts
2 → 24
Calls

2 calls:

38.0ms
(cbrt.f64 ew)
37.0ms
(*.f64 (cbrt.f64 ew) (cbrt.f64 ew))

rewrite7.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
19×cbrt-prod_binary64
11×*-un-lft-identity_binary64
11×add-cube-cbrt_binary64
pow1_binary64
Counts
2 → 55
Calls

2 calls:

4.0ms
(*.f64 (cbrt.f64 ew) (cbrt.f64 ew))
1.0ms
(cbrt.f64 ew)

simplify64.0ms (0.6%)

Algorithm
egg-herbie
Rules
577×distribute-rgt-in_binary64
561×log-prod_binary64
538×distribute-lft-in_binary64
525×unswap-sqr_binary64
384×fma-def_binary64
Counts
79 → 74
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058610
198554
2296516
3769502
41799410
54642410
64805410

prune770.0ms (6.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3394343
Fresh011
Picked011
Done011
Total3397346
Error
0.1b
Counts
346 → 7
Alt Table
StatusErrorProgram
0.1b
(fabs.f64 (+.f64 (*.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.7b
(fabs.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (cbrt.f64 ew)))) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
36.0b
(fabs.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 ew)) (cbrt.f64 (sqrt.f64 ew))) (*.f64 (cbrt.f64 (sqrt.f64 ew)) (cbrt.f64 (sqrt.f64 ew)))) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.8b
(fabs.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew))) (cbrt.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)))) (cbrt.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)))) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
17.1b
(fabs.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 ew ew)) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.7b
(fabs.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
26.4b
(fabs.f64 (+.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 ew ew) ew) (*.f64 (*.f64 (sin.f64 t) (sin.f64 t)) (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 15106 to 2737 computations (81.9% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 ew)
0.6b
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (cbrt.f64 ew)))
3.4b
(/.f64 (/.f64 eh ew) (tan.f64 t))
32.8b
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series32.0ms (0.3%)

Counts
1 → 12
Calls

1 calls:

32.0ms
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (cbrt.f64 ew)))

rewrite6.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
rem-cbrt-cube_binary64
pow3_binary64
cbrt-prod_binary64
Counts
1 → 12
Calls

1 calls:

5.0ms
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (cbrt.f64 ew)))

simplify61.0ms (0.5%)

Algorithm
egg-herbie
Rules
764×unswap-sqr_binary64
594×log-prod_binary64
297×cancel-sign-sub-inv_binary64
276×*-commutative_binary64
217×distribute-rgt-in_binary64
Counts
24 → 22
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024127
134123
283121
3202121
4612121
51886121
63157121
74996121
84792121

prune448.0ms (3.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3450345
Fresh044
Picked011
Done022
Total3457352
Error
0.1b
Counts
352 → 7
Alt Table
StatusErrorProgram
0.1b
(fabs.f64 (+.f64 (*.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.7b
(fabs.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (cbrt.f64 ew)))) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
36.0b
(fabs.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 ew)) (cbrt.f64 (sqrt.f64 ew))) (*.f64 (cbrt.f64 (sqrt.f64 ew)) (cbrt.f64 (sqrt.f64 ew)))) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.8b
(fabs.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew))) (cbrt.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)))) (cbrt.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)))) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
17.1b
(fabs.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 ew ew)) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.7b
(fabs.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
26.4b
(fabs.f64 (+.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 ew ew) ew) (*.f64 (*.f64 (sin.f64 t) (sin.f64 t)) (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 17488 to 2846 computations (83.7% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 ew)
0.6b
(cbrt.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)))
3.4b
(/.f64 (/.f64 eh ew) (tan.f64 t))
32.8b
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series302.0ms (2.6%)

Counts
1 → 12
Calls

1 calls:

302.0ms
(cbrt.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)))

rewrite3.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
cbrt-prod_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
1 → 11
Calls

1 calls:

3.0ms
(cbrt.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)))

simplify124.0ms (1.1%)

Algorithm
egg-herbie
Rules
980×unswap-sqr_binary64
890×sqr-pow_binary64
729×cube-prod_binary64
633×fabs-mul_binary64
390×unpow3_binary64
Counts
23 → 16
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025252
144252
275252
3150252
4400252
5652252
61407252
71549252
81750252
91983252
102270252
112511252
122668252
133073252
143840252
154176252
164584252
174897252

prune765.0ms (6.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4070407
Fresh033
Picked011
Done033
Total4077414
Error
0.1b
Counts
414 → 7
Alt Table
StatusErrorProgram
0.1b
(fabs.f64 (+.f64 (*.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.7b
(fabs.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (cbrt.f64 ew)))) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
36.0b
(fabs.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 ew)) (cbrt.f64 (sqrt.f64 ew))) (*.f64 (cbrt.f64 (sqrt.f64 ew)) (cbrt.f64 (sqrt.f64 ew)))) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.8b
(fabs.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew))) (cbrt.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)))) (cbrt.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)))) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
17.1b
(fabs.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 ew ew)) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.7b
(fabs.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (*.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
26.4b
(fabs.f64 (+.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 ew ew) ew) (*.f64 (*.f64 (sin.f64 t) (sin.f64 t)) (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 23470 to 3266 computations (86.1% saved)

regimes181.0ms (1.6%)

Accuracy

Total 0.0b remaining (20.6%)

Threshold costs 0.0b (20.6%)

Counts
26 → 1
Compiler

Compiled 5441 to 2844 computations (47.7% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01846
12346
22346

end1.0ms (0%)

Compiler

Compiled 31 to 17 computations (45.2% saved)

sample5.2s (45.7%)

Algorithm
intervals
Results
2.6s2040×body1024valid
1.2s4498×body128valid
678.0ms935×body512valid
245.0ms520×body256valid
41.0msbody2048valid
Compiler

Compiled 360 to 187 computations (48.1% saved)

Profiling

Loading profile data...